Level 1/Level 2 GCSE (9–1) Tuesday 19 May 2020
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Please check the examination details below before entering your candidate information Candidate surname Other names Total Marks Centre Number Candidate Number Pearson Edexcel Level 1/Level 2 GCSE (9–1) You must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser. Tracing paper may be used. Morning (Time: 1 hour 30 minutes) Tuesday 19 May 2020 Paper Reference 1MA1/1F Mathematics Paper 1 (Non‑Calculator) Foundation Tier *P62274RA0120* P62274RA ©2020 Pearson Education Ltd. 1/1/1/1/1/1/ Turn over Instructions • Use black ink or ball-point pen. • Fill in the boxes at the top of this page with your name, centre number and candidate number. • Answer all questions. • Answer the questions in the spaces provided – there may be more space than you need. • You must show all your working. • Diagrams are NOT accurately drawn, unless otherwise indicated. • Calculators may not be used. Information • The total mark for this paper is 80 • The marks for each question are shown in brackets – use this as a guide as to how much time to spend on each question. Advice • Read each question carefully before you start to answer it. • Keep an eye on the time. • Try to answer every question. • Check your answers if you have time at the end.
Transcript of Level 1/Level 2 GCSE (9–1) Tuesday 19 May 2020
Please check the examination details below before entering your candidate information
Candidate surname Other names
Total Marks
Centre Number Candidate Number
Pearson Edexcel Level 1/Level 2 GCSE (9–1)
You must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser. Tracing paper may be used.
Morning (Time: 1 hour 30 minutes)
Tuesday 19 May 2020Paper Reference 1MA1/1F
MathematicsPaper 1 (Non‑Calculator)Foundation Tier
*P62274RA0120*P62274RA©2020 Pearson Education Ltd.
1/1/1/1/1/1/
Turn over
Instructions
• Use black ink or ball-point pen.• Fill in the boxes at the top of this page with your name,
centre number and candidate number.• Answer all questions.• Answer the questions in the spaces provided
– there may be more space than you need.• You must show all your working. • Diagrams are NOT accurately drawn, unless otherwise indicated.• Calculators may not be used.
Information
• The total mark for this paper is 80• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.• Keep an eye on the time.• Try to answer every question.• Check your answers if you have time at the end.
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*P62274RA0220*
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 Write the following numbers in order of size. Start with the smallest number.
0.32 0.4 0.35 0.309
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 1 is 1 mark)
2 Here is a list of numbers.
5 11 18 22 29
From the list, write down a multiple of 3
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(Total for Question 2 is 1 mark)
3 Write 4.666 correct to the nearest whole number.
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(Total for Question 3 is 1 mark)
4 Write 34
as a decimal.
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(Total for Question 4 is 1 mark)
5 Write down the value of the 7 in the number 8765
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 5 is 1 mark)
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*P62274RA0320* Turn over
6 Gita spins a fair 8‑sided spinner.
AA
A
B
C
C
CC
(a) On the probability scale, mark with a cross (X) the probability that the spinner will land on C.
0 1
2
1
(1)
(b) On the probability scale, mark with a cross (X) the probability that the spinner will land on D.
0 1
2
1
(1)
(Total for Question 6 is 2 marks)
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*P62274RA0420*
7 The incomplete pictogram shows information about the number of eggs sold from a farm shop on Monday.
MondayKey:
Tuesday
Wednesday
On Monday the shop sold 18 eggs. On Tuesday the shop sold 24 eggs. On Wednesday the shop sold 27 eggs.
Use this information to complete the pictogram and the key.
(Total for Question 7 is 4 marks)
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*P62274RA0520* Turn over
8
A
x
y5
4
3
2
1
1 2 3 4 5O
–1
–2
–3
–4
–5
–4–5 –3 –2 –1
B
(a) Write down the coordinates of the point A.
(. . . . . . . . . . . . . . . . . . . . . . . , . . . . . . . . . . . . . . . . . . . . . . .)(1)
(b) Write down the coordinates of the point B.
(. . . . . . . . . . . . . . . . . . . . . . . , . . . . . . . . . . . . . . . . . . . . . . .)(1)
(c) On the grid, mark with a cross (X) the point (–2, 1) Label this point C.
(1)
(Total for Question 8 is 3 marks)
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*P62274RA0620*
9 (a) A bag contains red counters and blue counters only.
number of red counters : number of blue counters = 3 : 4
Write down the fraction of the counters that are red.
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(1)
(b) Write the ratio 12 : 30 in the form 1 : n
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(2)
(Total for Question 9 is 3 marks)
10 Jenny has 12 marbles.
1
4 of these 12 marbles are large.
The rest of these 12 marbles are small.
Each large marble has a weight of 70 grams. Each small marble has a weight of 50 grams.
Work out the total weight of the 12 marbles.
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(Total for Question 10 is 4 marks)
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*P62274RA0720* Turn over
11 mirror line
Reflect the shaded shape in the mirror line.
(Total for Question 11 is 2 marks)
12 The diagram shows a number machine.
input output× 2 – 3
(a) Find the output when the input is 7
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(1)
(b) Find the input when the output is 41
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(2)
(Total for Question 12 is 3 marks)
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*P62274RA0820*
13 The diagram shows two points, A and B, on a map.
N
N
A
B
Diagram accurately drawn
Scale: 1 to 25 000
(a) Find the bearing of B from A.
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(1)
(b) Work out the real distance between A and B. Give your answer in kilometres.
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(Total for Question 13 is 4 marks)
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*P62274RA0920* Turn over
14 Ishmael asked 30 students at college to tell him the sport they each like the best from cricket or tennis or swimming.
11 of the 20 female students said swimming. 2 of the male students said tennis. 5 students said cricket.
The number of male students who said cricket was the same as the number of male students who said swimming.
Complete the two‑way table.
Cricket Tennis Swimming Total
Male students
Female students 20
Total 30
(Total for Question 14 is 3 marks)
15 Jamil makes a drink by mixing 1 part of orange squash with 9 parts of water.
He uses 750 millilitres of orange squash.
Jamil is going to put the drink he has mixed into 1 litre bottles.
Work out the greatest number of 1 litre bottles that Jamil can completely fill.
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(Total for Question 15 is 3 marks)
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*P62274RA01020*
16 The table gives information about the number of points scored by each of 16 students in a game.
Number of points Frequency
0 1
1 3
2 5
3 4
4 3
Tina worked out the median of the number of points scored to be 5
(a) Explain why it is not possible for the median to be 5
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(1)
Tina also worked out the total number of points scored by the 16 students in the game. Here is her working.
(0 × 1) + (1 × 3) + (2 × 5) + (3 × 4) + (4 × 3) = 1 + 3 + 10 + 12 + 12 = 38
Tina made a mistake in her working to find the total number of points scored.
(b) Describe the mistake that Tina made.
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(1)
(Total for Question 16 is 2 marks)
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*P62274RA01120* Turn over
17 In a shop, a TV has a normal price of £500 The shop has a sale.
On Monday, the normal price of the TV is reduced by 1
10 to give the sale price.
On Tuesday, the sale price of the TV is reduced by 20%
Chris wants to buy the TV. He has £400 to spend on the TV.
Does Chris have enough money to buy the TV on Tuesday? You must show how you get your answer.
(Total for Question 17 is 5 marks)
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*P62274RA01220*
18 Work out an estimate for 790 289
49
×
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(Total for Question 18 is 3 marks)
19 (a) Expand x(x – 4)
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Factorise 15y – 10
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(c) Solve 7( f – 5) = 28
f = .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 19 is 4 marks)
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*P62274RA01320* Turn over
20 The first five terms of an arithmetic sequence are
1 4 7 10 13
Write down an expression, in terms of n, for the nth term of this sequence.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 20 is 2 marks)
21 Show that 21
3 × 3
3
4 = 8
3
4
(Total for Question 21 is 3 marks)
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*P62274RA01420*
22 The diagram shows four graphs.
Graph A
y
xO
Graph B
y
xO
Graph C
y
xO
Graph D
y
xO
Each of the equations in the table is the equation of one of the graphs.
Complete the table.
Equation Letter of graph
y = –x3
y = x3
y = x2
y = 1x
(Total for Question 22 is 2 marks)
15
*P62274RA01520* Turn over
23 The diagram shows four triangles.
10 cm55° 45°
Triangle A Triangle B
8 cm
45°10 cm
8 cm
10 cm
55°
Triangle C Triangle D
10 cm80°
45°
Two of these triangles are congruent.
Write down the letters of these two triangles.
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(Total for Question 23 is 1 mark)
24 Sean pays £10 for 24 chocolate bars.
He sells all 24 chocolate bars for 50p each.
Work out Sean’s percentage profit.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . %
(Total for Question 24 is 3 marks)
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*P62274RA01620*
25 ADC is a triangle.
63°
148°
A
B
CD
E
AED and ABC are straight lines. EB is parallel to DC.
Angle EBC = 148° Angle ADC = 63°
Work out the size of angle EAB. You must give a reason for each stage of your working.
(Total for Question 25 is 5 marks)
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*P62274RA01720* Turn over
26 The table shows information about the heights, in cm, of a group of Year 9 girls.
least height 150 cm
median 165 cm
greatest height 170 cm
This stem and leaf diagram shows information about the heights, in cm, of a group of 15 Year 9 boys.
15 8 9 9
16 4 5 7 7 8Key: 15 8 represents 158 cm
17 0 3 4 4 7
18 0 2
Compare the distribution of the heights of the girls with the distribution of the heights of the boys.
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(Total for Question 26 is 3 marks)
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*P62274RA01820*
27 The diagram shows a prism placed on a horizontal floor.
force
areapressure =
3 m
The prism has height 3 m The volume of the prism is 18 m3
The pressure on the floor due to the prism is 75 newtons/m2
Work out the force exerted by the prism on the floor.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . newtons
(Total for Question 27 is 3 marks)
28 Write these numbers in order of size. Start with the smallest number.
6.72 × 105 67.2 × 10–4 672 × 104 0.000 672
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 28 is 2 marks)
19
*P62274RA01920* Turn over
29 Given that ab
= 25
and bc
= 34
find a : b : c
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(Total for Question 29 is 3 marks)
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*P62274RA02020*
30 (a) Make q the subject of p = 6q + 7
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(2)
(b) Simplify (m–2)–3
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(1)
(Total for Question 30 is 3 marks)
TOTAL FOR PAPER IS 80 MARKS
